Distributed Multiscale Formation Optimization for Multiagent Systems

In this article, we study a distributed multiscale formation optimization problem for the multiagent system. The global cost function is subjected to a constraint with an aggregative item, which reveals the degree of aggregation for the multiagent system. A distributed strategy is proposed to optimize the formation configuration at multiple scales, including the position, angle, and size of the formation configuration. The strategy first employs observation and parameter projection technologies to search for the optimal size. Then, it utilizes the gradient and moment to optimize the position and angle of the formation configuration synchronously. Finally, some simulation results are provided to verify the proposed strategy.